Ricci Solitons on Pseudosymmetric $(\\kappa,\\mu)$-Paracontact Metric Manifolds

Authors : Mehmet Atçeken, Tuğba Mert, Pakize Uygun

Pages : 33-44

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Publication Date : 2024-06-30

Article Type : Research Paper

Abstract :The object of the present paper is to study some types of Ricci pseudosymmetric $(\\kappa,\\mu)$-paracontact metric manifolds whose metric admits Ricci soliton. We researched the conditions when Ricci soliton on Ricci pseudosymmetric, concircular Ricci pseudosymmetric, $W_3$-Ricci pseudosymmetric, Weyly projective Ricci pseudosymmetric and conharmonic Ricci pseudosmettric conditions on a $(\\kappa,\\mu)$-paracontact metric manifold. According to these conditions, we have evaluated the manifold to be shrinking, steady and expanding. Finally, we have also constructed a non-trivial example of $(\\kappa,\\mu)$-paracontact metric manifolds whose metric admits Ricci soliton and found the functions for the Ricci pseudosymmetric conditions.
Keywords : Paracontact metric manifold, \\kappa, \\mu paracontact metric manifold, Ricci soliton and pseudosymmetric manifolds